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A string of length L consists of two dis...

A string of length L consists of two distinct sections. The left half has linear mass density `mu_1 = mu_0 // 2` while the right half has linear mass density `mu_2 = 3mu_0` . Tension in the string is `F_0` . The time required for a transverse wave pulse to travel from one end of the string to the other is

A

`L/4 sqrt(mu_(0)/F_(0)) (sqrt(2) + sqrt(6))`

B

`L/2 sqrt((2mu_(0))/f_(0)) (1+ sqrt(3))`

C

`L/2 sqrt((mu_(0))/(2F_(0))) (sqrt(2) + sqrt(6))`

D

`L/2 sqrt((mu_(0))/(2F_(0)) (1 + sqrt(6)))`

Text Solution

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The correct Answer is:
D
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